99541619460 has 288 divisors, whose sum is σ = 324772156800. Its totient is φ = 24589357056.

The previous prime is 99541619413. The next prime is 99541619461. The reversal of 99541619460 is 6491614599.

99541619460 is a `hidden beast` number, since 9 + 9 + 541 + 6 + 1 + 94 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 99541619397 and 99541619406.

It is not an unprimeable number, because it can be changed into a prime (99541619461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88638459 + ... + 88639581.

It is an arithmetic number, because the mean of its divisors is an integer number (1127681100).

Almost surely, 2^99541619460 is an apocalyptic number.

99541619460 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99541619460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162386078400).

99541619460 is an abundant number, since it is smaller than the sum of its proper divisors (225230537340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99541619460 is a wasteful number, since it uses less digits than its factorization.

99541619460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 99541619460 in words is "ninety-nine billion, five hundred forty-one million, six hundred nineteen thousand, four hundred sixty".